Find Solutions Using the Discriminant Slides

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

• 0

• 1

• 2

• 3

Use the discriminant to determine the number of real solutions to each equation.

• Two Real Solutions

• One Real Solution

• Two Imaginary Solutions

How many solutions would a quadratic have if D < 0?

• 2 Complex Solutions

• 1 Real Solution

• 2 Real Solutions

• one real solution

• two real solutions

• two imaginary solutions

What is the discriminant and how many solutions would this quadratic have?

• 0, No Solutions

• 0, 1 Solution

• 128, 2 Solutions

• 128, 1 Solution

If the discriminant is positive, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution